Might have rodent damage to wires. a question

Can you post some photos of what you're talking about? The sensor itself is inside the transaxle, where only very determined aluminum-chewing rodents could get at it, I have to think you're talking about the wire harness where it goes to the resolver connector. But the situation doesn't seem totally clear the way you've described it.

 

Got it. That light gray thing is just a wiring connector. You can squeeze that tab and unplug it from the mating connector that is sticking out of the transaxle.

Neither one is the sensor. The sensor is buried inside the transaxle where you aren't going to see it, and so are the wires from the sensor to that mating plug sticking out of the transaxle, so they are pretty well protected from damage.

The only repair you need to make is of damaged wire to a connector plug.

Toyota sells what they call "repair wires": you look up the part number for the right one (or let the parts counter person do it for you), and what you get is the little metal terminal that lives inside the connector, with a short length of wire already attached. The right part number will be the 'waterproof' flavor, where the terminal has a rubbery seal crimped to it, just like the blue ones you see around the wires in your picture.

You squeeze the tab and unplug that gray connector, and you undo its terminal locking mechanisms (there are usually two, a primary and a secondary), and you poke the gnawed terminal/wire out the back of the connector and throw it in the trash. You push your shiny new repair-wire terminal and its rubbery seal into the same position on the connector until it clicks, then secure the secondary lock again.

You unwrap the wire harness covering for a short distance and find a good ungnawed spot on that wire to splice it to the repair wire you just added, using a parallel crimp inside a sealant-filled shrinkable sleeve, followed by wrapping the whole repair with self-bonding silicone tape.

Then you plug the connector back in and enjoy driving the car.

More on looking up the proper repair-wire part number is here, which is a link I found here (under Electrical Wiring Diagram), which has more links and info about wiring repair that you will probably want to read.